1 / 8

Adding and Subtracting Rational Expressions

Adding and Subtracting Rational Expressions. Section 7.4 beginning on page 384. Adding/Subtracting With Like Denominators. When the denominators are the same, add or subtract the numerator and keep the denominator. Example 1 : a) b). Finding the Least Common Multiple.

arleen
Download Presentation

Adding and Subtracting Rational Expressions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Adding and Subtracting Rational Expressions Section 7.4 beginning on page 384

  2. Adding/Subtracting With Like Denominators When the denominators are the same, add or subtract the numerator and keep the denominator. Example 1: a) b)

  3. Finding the Least Common Multiple Example 2: Find the least common multiple of and ** Factor each polynomial and write numerical factors as products of primes. **The LCM is the product of the highest power of each factor that appears in either polynomial.

  4. Adding with Unlike Denominators You can always find a common denominator by multiplying the denominators together. If you use the LCM simplifying at the end may be easier but the creating equivalent fractions will be harder. Example 3: Find the sum Step 1: Create equivalent fractions that have the same denominator. Step 2: Add the numerators, simplify the numerator. Step 3: Factor the numerator and denominator. Step 4: Simplify.

  5. Subtracting With Unlike Denominators Example 4: Find the difference It can be helpful to factor the denominators first to allow you to multiply the fractions by fewer factors. (by only multiplying by the factors that are not already in both denominators)

  6. Simplifying Complex Fractions Example 6: Simplify Step 1: Simplify the numerator and denominator so that there is only one fraction in each. Step 2: To divide, multiply the numerator by the reciprocal of the denominator.

  7. Monitoring Progress Find the sum or difference: 1) 2) 3) 4) Find the least common multiple: 5) Find the sum or difference: 6) 7) 8)

  8. Monitoring Progress Simplify the complex fractions. 10) 11) 12)

More Related